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cvc5---1.3.4.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : cvc5---1.3.4
% Problem  : ARI652_1 : TPTP v9.2.1. Released v6.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n003.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Jun  3 08:08:03 AM UTC 2026

% Result   : Theorem 0.32s 0.55s
% Output   : Proof 0.32s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : ARI652_1 : TPTP v9.2.1. Released v6.3.0.
% 0.12/0.13  % Command  : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.34  % Computer : n003.cluster.edu
% 0.16/0.34  % Model    : x86_64 x86_64
% 0.16/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34  % Memory   : 8042.1875MB
% 0.16/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34  % CPULimit : 300
% 0.16/0.34  % WCLimit  : 300
% 0.16/0.34  % DateTime : Wed Jun  3 02:30:59 EDT 2026
% 0.16/0.34  % CPUTime  : 
% 0.32/0.49  %----Proving TF0_ARI
% 0.32/0.55  --- Run --finite-model-find --decision=internal at 45...
% 0.32/0.55  % SZS status Theorem
% 0.32/0.55  % SZS output start Proof
% 0.32/0.55  (
% 0.32/0.55  (declare-const tptp.a Int)
% 0.32/0.55  (define @t1 () (+ tptp.a 4))
% 0.32/0.55  (define @t2 () (- 3))
% 0.32/0.55  (define @t3 () (- @t2 tptp.a))
% 0.32/0.55  (define @t4 () (- 2))
% 0.32/0.55  (define @t5 () (<= @t4 @t3))
% 0.32/0.55  (define @t6 () (* tptp.a tptp.a))
% 0.32/0.55  (define @t7 () (= @t6 1))
% 0.32/0.55  (define @t8 () (not @t7))
% 0.32/0.55  (define @t9 () (>= tptp.a -1))
% 0.32/0.55  (define @t10 () (+ 4 tptp.a))
% 0.32/0.55  (define @t11 () (+ tptp.a 1))
% 0.32/0.55  (define @t12 () (>= 2 @t1))
% 0.32/0.55  (define @t13 () (* -1 tptp.a))
% 0.32/0.55  (define @t14 () (+ -3 @t13))
% 0.32/0.55  (define @t15 () (+ @t14 1))
% 0.32/0.55  (define @t16 () (>= tptp.a 0))
% 0.32/0.55  (define @t17 () (>= -2 @t15))
% 0.32/0.55  (define @t18 () (+ @t2 @t13))
% 0.32/0.55  (define @t19 () (* tptp.a tptp.a))
% 0.32/0.55  (define @t20 () (= tptp.a -1))
% 0.32/0.55  (define @t21 () (* -1 -1))
% 0.32/0.55  (define @t22 () (= @t19 1))
% 0.32/0.55  (define @t23 () (not @t20))
% 0.32/0.55  (define @t24 () (not @t9))
% 0.32/0.55  (define @t25 () (not @t16))
% 0.32/0.55  (define @t26 () (and @t23 @t25 @t9))
% 0.32/0.55  (assume @p1 (< 2 @t1))
% 0.32/0.55  (assume @p2 @t5)
% 0.32/0.55  (assume @p3 @t8)
% 0.32/0.55  (assume @p4 true)
% 0.32/0.55  (step @p5 :rule bool-double-not-elim :args (@t9))
% 0.32/0.55  (step @p6 :rule arith_poly_norm :args ((= (* -2 (- -1 @t11)) (* -2 (- 2 @t10)))))
% 0.32/0.55  (step @p7 :rule arith_poly_norm_rel :premises (@p6) :args ((= (>= -1 @t11) (>= 2 @t10))))
% 0.32/0.55  (step @p8 :rule arith-geq-tighten :args (tptp.a -1))
% 0.32/0.55  (step @p9 :rule trans :premises (@p8 @p7))
% 0.32/0.55  (step @p10 :rule symm :premises (@p9))
% 0.32/0.55  (step @p11 :rule arith_poly_norm :args ((= @t1 @t10)))
% 0.32/0.55  (step @p12 :rule refl :args (2))
% 0.32/0.55  (step @p13 :rule cong :premises (@p12 @p11) :args (@t12))
% 0.32/0.55  (step @p14 :rule trans :premises (@p13 @p10))
% 0.32/0.55  (step @p15 :rule cong :premises (@p14) :args ((not @t12)))
% 0.32/0.55  (step @p16 :rule trans :premises (@p15 @p5))
% 0.32/0.55  (step @p17 :rule arith-elim-lt :args (2 @t1))
% 0.32/0.55  (step @p18 :rule trans :premises (@p17 @p16))
% 0.32/0.55  (step @p19 :rule eq_resolve :premises (@p1 @p18))
% 0.32/0.55  (step @p20 :rule arith_poly_norm :args ((= (* 1 (- -2 @t15)) (* 1 (- tptp.a 0)))))
% 0.32/0.55  (step @p21 :rule arith_poly_norm_rel :premises (@p20) :args ((= @t17 @t16)))
% 0.32/0.55  (step @p22 :rule cong :premises (@p21) :args ((not @t17)))
% 0.32/0.55  (step @p23 :rule arith-leq-norm :args (-2 @t14))
% 0.32/0.55  (step @p24 :rule trans :premises (@p23 @p22))
% 0.32/0.55  (step @p25 :rule refl :args (@t13))
% 0.32/0.55  (step @p26 :rule evaluate :args (@t2))
% 0.32/0.55  (step @p27 :rule nary_cong :premises (@p26 @p25) :args (@t18))
% 0.32/0.55  (step @p28 :rule arith_poly_norm :args ((= @t3 @t18)))
% 0.32/0.55  (step @p29 :rule trans :premises (@p28 @p27))
% 0.32/0.55  (step @p30 :rule evaluate :args (@t4))
% 0.32/0.55  (step @p31 :rule cong :premises (@p30 @p29) :args (@t5))
% 0.32/0.55  (step @p32 :rule trans :premises (@p31 @p24))
% 0.32/0.55  (step @p33 :rule eq_resolve :premises (@p2 @p32))
% 0.32/0.55  (step @p34 :rule refl :args (1))
% 0.32/0.55  (step @p35 :rule arith_poly_norm :args ((= @t6 @t19)))
% 0.32/0.55  (step @p36 :rule cong :premises (@p35 @p34) :args (@t7))
% 0.32/0.55  (step @p37 :rule cong :premises (@p36) :args (@t8))
% 0.32/0.55  (step @p38 :rule eq_resolve :premises (@p3 @p37))
% 0.32/0.55  (assume-push @p85 @t20)
% 0.32/0.55  (step @p40 :rule evaluate :args ((= 1 1)))
% 0.32/0.55  (step @p41 :rule evaluate :args (@t21))
% 0.32/0.55  (step @p42 :rule cong :premises (@p41 @p34) :args ((= @t21 1)))
% 0.32/0.55  (step @p43 :rule trans :premises (@p42 @p40))
% 0.32/0.55  (step @p44 :rule eq_resolve :premises (@p1 @p18))
% 0.32/0.55  (step @p45 :rule arith-elim-lt :args (tptp.a 0))
% 0.32/0.55  (step @p46 :rule symm :premises (@p45))
% 0.32/0.55  (step @p47 :rule eq_resolve :premises (@p33 @p46))
% 0.32/0.55  (step @p48 :rule int_tight_ub :premises (@p47))
% 0.32/0.55  (step @p49 :rule arith_trichotomy :premises (@p48 @p44))
% 0.32/0.55  (step @p50 :rule nary_cong :premises (@p49 @p49) :args (@t19))
% 0.32/0.55  (step @p51 :rule cong :premises (@p50 @p34) :args (@t22))
% 0.32/0.55  (step @p52 :rule trans :premises (@p51 @p43))
% 0.32/0.55  (step @p53 :rule true_elim :premises (@p52))
% 0.32/0.55  (step-pop @p86 :rule scope :premises (@p53))
% 0.32/0.55  (step @p54 :rule process_scope :premises (@p86) :args (@t22))
% 0.32/0.55  (step @p56 :rule implies_elim :premises (@p54))
% 0.32/0.55  (step @p57 :rule reordering :premises (@p56) :args ((or @t22 @t23)))
% 0.32/0.55  (step @p58 :rule chain_m_resolution :premises (@p57 @p38) :args (@t23 (@list true) (@list @t22)))
% 0.32/0.55  (step @p59 :rule bool-double-not-elim :args (@t20))
% 0.32/0.55  (step @p60 :rule bool-double-not-elim :args (@t16))
% 0.32/0.55  (step @p61 :rule refl :args (@t24))
% 0.32/0.55  (step @p62 :rule nary_cong :premises (@p61 @p60 @p59) :args ((or @t24 (not @t25) (not @t23))))
% 0.32/0.55  (assume-push @p87 @t23)
% 0.32/0.55  (assume-push @p88 @t25)
% 0.32/0.55  (assume-push @p89 @t9)
% 0.32/0.55  (step @p45 :rule arith-elim-lt :args (tptp.a 0))
% 0.32/0.55  (step @p46 :rule symm :premises (@p45))
% 0.32/0.55  (step @p47 :rule eq_resolve :premises (@p33 @p46))
% 0.32/0.55  (step @p48 :rule int_tight_ub :premises (@p47))
% 0.32/0.55  (step @p66 :rule arith_trichotomy :premises (@p48 @p19))
% 0.32/0.55  (step @p67 false :rule contra :premises (@p66 @p87))
% 0.32/0.55  (step-pop @p90 :rule scope :premises (@p67))
% 0.32/0.55  (step-pop @p91 :rule scope :premises (@p90))
% 0.32/0.55  (step-pop @p92 :rule scope :premises (@p91))
% 0.32/0.55  (step @p68 :rule process_scope :premises (@p92) :args (false))
% 0.32/0.55  (assume-push @p93 @t9)
% 0.32/0.55  (assume-push @p94 @t25)
% 0.32/0.55  (assume-push @p95 @t23)
% 0.32/0.55  (step @p75 :rule and_intro :premises (@p95 @p33 @p19))
% 0.32/0.55  (step-pop @p96 :rule scope :premises (@p75))
% 0.32/0.55  (step-pop @p97 :rule scope :premises (@p96))
% 0.32/0.55  (step-pop @p98 :rule scope :premises (@p97))
% 0.32/0.55  (step @p76 :rule process_scope :premises (@p98) :args (@t26))
% 0.32/0.55  (step @p80 :rule implies_elim :premises (@p76))
% 0.32/0.55  (step @p81 :rule resolution :premises (@p80 @p68) :args (true @t26))
% 0.32/0.55  (step @p82 :rule not_and :premises (@p81))
% 0.32/0.55  (step @p83 :rule eq_resolve :premises (@p82 @p62))
% 0.32/0.55  (step @p84 false :rule chain_m_resolution :premises (@p83 @p58 @p33 @p19) :args (false (@list true true false) (@list @t20 @t16 @t9)))
% 0.32/0.55  )
% 0.32/0.55  % SZS output end Proof
% 0.32/0.55  % cvc5 exiting
%------------------------------------------------------------------------------